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Finding the Fourth Proportional to 7,675.82, 11,487.81 and 4,756.58

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Solution

The fourth proportional to 7,675.82, 11,487.81 and 4,756.58 is: 7,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.82 : 11,487.81 = 4,756.58 : x
  2. Step 2: Convert to fraction form
    7,675.82/11,487.81 = 4,756.58/x
  3. Step 3: Cross multiply
    7,675.82x = 11,487.81 × 4,756.58
  4. Step 4: Simplify right side
    7,675.82x = 54,642,687.29
  5. Step 5: Solve for x
    x = 54,642,687.29/7,675.82
  6. Step 6: Final answer
    x = 7,118.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.